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Finding the Fourth Proportional to 254,892.40, 381,901.20 and 166,100.20

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Solution

The fourth proportional to 254,892.40, 381,901.20 and 166,100.20 is: 248,865.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,892.40 : 381,901.20 = 166,100.20 : x
  2. Step 2: Convert to fraction form
    254,892.40/381,901.20 = 166,100.20/x
  3. Step 3: Cross multiply
    254,892.40x = 381,901.20 × 166,100.20
  4. Step 4: Simplify right side
    254,892.40x = 63,433,865,700.24
  5. Step 5: Solve for x
    x = 63,433,865,700.24/254,892.40
  6. Step 6: Final answer
    x = 248,865.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.